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Popular >

simplify 2ln(6)-5ln(z-4)

Solution

simplify

2 ln (6) - 5 ln (z - 4)

Solution

ln (\frac{36}{( z - 4 ) ^{5}})

Solution steps

2 ln (6) - 5 ln (z - 4)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (6) = ln (6^{2})

= ln (6^{2}) - 5 ln (z - 4)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

5 ln (z - 4) = ln ((z - 4)^{5})

= ln (6^{2}) - ln ((z - 4)^{5})

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (6^{2}) - ln ((z - 4)^{5}) = ln (\frac{6 ^{2}}{( z - 4 ) ^{5}})

= ln (\frac{6 ^{2}}{( z - 4 ) ^{5}})

6^{2} = 36

= ln (\frac{36}{( z - 4 ) ^{5}})

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Frequently Asked Questions (FAQ)

What is 2ln(6)-5ln(z-4) ?
The solution to 2ln(6)-5ln(z-4) is ln((36)/((z-4)^5))